Reductive group actions on affine quadrics with 1-dimensional quotient: Linearization when a linear model exists

DOI10.1007/BF02549206zbMath0913.14013OpenAlexW1987340313MaRDI QIDQ1377337

Michael Doebeli

Publication date: 5 March 1998

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02549206

zbMATH Keywords

group actionsgeometric quotientsslice representationsaffine quadricslinear model for a group given actionlinearizable group actions

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Linear algebraic groups over adèles and other rings and schemes (20G35)

Cites Work

• A generalization of the Chevalley restriction theorem
• Lifting smooth homotopies of orbit spaces
• Representations of simple Lie groups with regular rings of invariants
• Representations of simple Lie groups with a free module of covariants
• Koreguläre und äquidimensionale Darstellungen. (Coregular and equidimensional representations)
• Reductive group actions with one-dimensional quotient
• Nonlinearizable operations of semisimple groups on affine spaces.
• Linear models for reductive group actions on affine quadrics
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